It happened about 11 a.m. at the BB&T Bank at 4409 Creedmoor Road.
The suspect, who was seen in surveillance photos fled on foot after a teller complied with his demands, police said.
No weapon was seen and no one was injured.
Anyone with information is asked to call Raleigh CrimeStoppers at (919) 834-HELP or visit raleighcrimestoppers.org for text and email reporting options. CrimeStoppers pays cash rewards for anonymous tips that help solve cases.